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Finding the Fourth Proportional to 180,815.40, 271,223.10 and 49,487.40

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Solution

The fourth proportional to 180,815.40, 271,223.10 and 49,487.40 is: 74,231.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,815.40 : 271,223.10 = 49,487.40 : x
  2. Step 2: Convert to fraction form
    180,815.40/271,223.10 = 49,487.40/x
  3. Step 3: Cross multiply
    180,815.40x = 271,223.10 × 49,487.40
  4. Step 4: Simplify right side
    180,815.40x = 13,422,126,038.94
  5. Step 5: Solve for x
    x = 13,422,126,038.94/180,815.40
  6. Step 6: Final answer
    x = 74,231.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.